How long after the beginning of motion is the displacment of a harmonically oscillation particle equal to one half its amplitude if the period is `24s

Question

How long after the beginning of motion is the displacment of a harmonically oscillation particle equal to one half its amplitude if the period is `24s

How long after the beginning of motion is the displacment of a harmonically oscillation particle equal to one half its amplitude if the period is `24s` and perticle starts from rest.
A. `12s`
B. `2s`
C. `4s`
D. `6s`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Related Questions

An object performs `S.H.M.` of amplitude `5 cm` and time period `4 s` at `t = 0` the object is at the centre of the oscillation i.e., `x = 0` then cal

2 Answers 5 Views

The time period of a particle executing `SHM` is `T`. After a time `T//6` after it passes its mean position, then at`t = 0` its :

2 Answers 6 Views

The `P.E.` of an oscillation particle at rest position is `10J` and its average `K.E.` is `5J`. The total energy of particle at any instant will be-

2 Answers 4 Views

The total energy of a vibrating particle in `SHM` is `E`. If its amplitude and time period are doubled, its total energy will be :-

2 Answers 6 Views

The equation of particle executing simple harmonic motion is `x = (5m) sin [(pis^(-1))t+(pi)/(3)]`. Write down the amplitude, time period and maximum

2 Answers 5 Views

A pendulum is suspended in a lit and its period of oscillation is `T_(0)` when the lift is stationary. `(i)` What will be the period `T` of oscillatio

2 Answers 4 Views

A simple harmonic motion is represented by : `y=59sin3pit+sqrt(3)cos3pit)cm` The amplitude and time period of the motion by :

2 Answers 4 Views

When a dampled harmonic oscillator completes 100 oscillations, its amplitude is reduced to `(1)/(3)` of its initial value. When will be its amplitude

2 Answers 5 Views

A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency `omega`. The amplitude of oscillation i

2 Answers 5 Views

If a smooth tunnel is dug across a diameter of earth and a particle is released from the surface of earth, the particle oscillate simple harmonically

2 Answers 5 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
`y = a cos omegat`
`(a)/(2) = a cos omegat`
`omegat = (pi)/(3)`
`(2pi)/(24)t = (pi)/(3)`
`t = 4 sec`.

4 views Answered 2023-02-05 15:29